19.566 (-18.566) =

asked by guest
on Dec 27, 2024 at 1:15 am



You asked:

Evaluate the expression: \(19.566 \cdot -18.566\)

MathBot Answer:

\[19.566 \cdot -18.566 = - \frac{90815589}{250000} = -363.262356\]


\[\begin{aligned}19.566 \cdot -18.566& = \left(19 + \frac{566}{1000}\right) \cdot -1 \cdot \left(18 + \frac{566}{1000}\right)\\& = \left(19 + \frac{283}{500}\right) \cdot -1 \cdot \left(18 + \frac{566}{1000}\right)\\& = \frac{9783}{500} \cdot -1 \cdot \left(18 + \frac{566}{1000}\right)\\& = \frac{9783}{500} \cdot -1 \cdot \left(18 + \frac{283}{500}\right)\\& = \frac{9783}{500} \cdot -1 \cdot \frac{9283}{500}\\& = - \frac{9783}{500} \cdot \frac{9283}{500}\\& = - \frac{90815589}{250000}\end{aligned}\]